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Finding the Fourth Proportional to 111,985,830.40, 167,978,745.60 and 31,206,798.40

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Solution

The fourth proportional to 111,985,830.40, 167,978,745.60 and 31,206,798.40 is: 46,810,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,985,830.40 : 167,978,745.60 = 31,206,798.40 : x
  2. Step 2: Convert to fraction form
    111,985,830.40/167,978,745.60 = 31,206,798.40/x
  3. Step 3: Cross multiply
    111,985,830.40x = 167,978,745.60 × 31,206,798.40
  4. Step 4: Simplify right side
    111,985,830.40x = 5,242,078,849,424,087
  5. Step 5: Solve for x
    x = 5,242,078,849,424,087/111,985,830.40
  6. Step 6: Final answer
    x = 46,810,197.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.